Let x equal the age, in human years, for a dog that is 2 years old or older. For each of your chosen breeds, write an expression to model its age in dog years. [Hint: Use (x-2) in each expression.]

the dogs are
2yrs: 23 yrs old
3yrs: 27 yrs old
4yrs: 31 yrs old
5yrs: 35 yrs old
I'm having trouble writing the expression's.

notice that y increases by 4 for every 1 increase in x.

So, the function will look like

y = 4x + ...

Since 4*2=8, and y(2) = 23,

y = 4x+15

Since the domain is x>=2, you could rewrite that as

y = 4(x-2) + 23

To write the expressions, we can start by identifying a pattern between the dog's age (x) and its age in dog years. From the given information, we can see that for every human year after 2 years, the dog's age in dog years increases by 4.

Based on this pattern, we can write the expressions as follows:

1. For a 2-year-old dog:
In dog years: x - 2 = 2 - 2 = 0 years

2. For a 3-year-old dog:
In dog years: x - 2 = 3 - 2 = 1 year
However, in the given information, it says that a 3-year-old dog is 27 years old in dog years. This implies that there might be another factor affecting the conversion. Without further details, we cannot determine the exact expression for this case.

3. For a 4-year-old dog:
In dog years: x - 2 = 4 - 2 = 2 years
According to the given information, a 4-year-old dog is 31 years old in dog years. So, the expression would be:
In dog years: x - 2 + 29 = 4 - 2 + 29 = 31 years

4. For a 5-year-old dog:
In dog years: x - 2 = 5 - 2 = 3 years
According to the given information, a 5-year-old dog is 35 years old in dog years. So, the expression would be:
In dog years: x - 2 + 32 = 5 - 2 + 32 = 35 years

It's important to note that without additional information, we can only speculate about the possible factors affecting the conversion of dog years to human years for the ages 3 and above.